Local MixVR: Breaking the Communication-Sample Dependence in Distributed Learning

Fuente: arXiv
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Autori principali: Dahan, Tehila, Hamoud, Bassel, Reshef, Roie, Jaggi, Martin, Levy, Kfir Y.
Natura: Preprint
Pubblicazione: 2026
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author Dahan, Tehila
Hamoud, Bassel
Reshef, Roie
Jaggi, Martin
Levy, Kfir Y.
author_facet Dahan, Tehila
Hamoud, Bassel
Reshef, Roie
Jaggi, Martin
Levy, Kfir Y.
contents Communication overhead is a crucial bottleneck in scalable distributed learning. While existing methods aim to efficiently utilize data points, such as Local SGD, Minibatch SGD, and their accelerated variants, they still exhibit communication-round complexity that scales with the total number of samples $N$. In this paper, we introduce Local MixVR, a distributed framework that integrates local updates with variance-reduction techniques to mitigate local noise. We show that Local MixVR is the first distributed method to eliminate the dependence of communication complexity on $N$, achieving a complexity that scales only with the number of workers $M$. In common regimes where $M<O\left(N^{1/4}\right)$, Local MixVR outperforms the state-of-the-art Minibatch Accelerated SGD baseline, bridging a long-standing gap in distributed optimization and establishing a new paradigm for communication-efficient training.
format Preprint
id arxiv_https___arxiv_org_abs_2606_01128
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Local MixVR: Breaking the Communication-Sample Dependence in Distributed Learning
Dahan, Tehila
Hamoud, Bassel
Reshef, Roie
Jaggi, Martin
Levy, Kfir Y.
Machine Learning
Communication overhead is a crucial bottleneck in scalable distributed learning. While existing methods aim to efficiently utilize data points, such as Local SGD, Minibatch SGD, and their accelerated variants, they still exhibit communication-round complexity that scales with the total number of samples $N$. In this paper, we introduce Local MixVR, a distributed framework that integrates local updates with variance-reduction techniques to mitigate local noise. We show that Local MixVR is the first distributed method to eliminate the dependence of communication complexity on $N$, achieving a complexity that scales only with the number of workers $M$. In common regimes where $M<O\left(N^{1/4}\right)$, Local MixVR outperforms the state-of-the-art Minibatch Accelerated SGD baseline, bridging a long-standing gap in distributed optimization and establishing a new paradigm for communication-efficient training.
title Local MixVR: Breaking the Communication-Sample Dependence in Distributed Learning
topic Machine Learning
url https://arxiv.org/abs/2606.01128